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Simplifying 0.5(4z + 6) + 1.4 = 0.6(4z + -6) Reorder the terms: 0.5(6 + 4z) + 1.4 = 0.6(4z + -6) (6 * 0.5 + 4z * 0.5) + 1.4 = 0.6(4z + -6) (3 + 2z) + 1.4 = 0.6(4z + -6) Reorder the terms: 3 + 1.4 + 2z = 0.6(4z + -6) Combine like terms: 3 + 1.4 = 4.4 4.4 + 2z = 0.6(4z + -6) Reorder the terms: 4.4 + 2z = 0.6(-6 + 4z) 4.4 + 2z = (-6 * 0.6 + 4z * 0.6) 4.4 + 2z = (-3.6 + 2.4z) Solving 4.4 + 2z = -3.6 + 2.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.4z' to each side of the equation. 4.4 + 2z + -2.4z = -3.6 + 2.4z + -2.4z Combine like terms: 2z + -2.4z = -0.4z 4.4 + -0.4z = -3.6 + 2.4z + -2.4z Combine like terms: 2.4z + -2.4z = 0.0 4.4 + -0.4z = -3.6 + 0.0 4.4 + -0.4z = -3.6 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -0.4z = -3.6 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -0.4z = -3.6 + -4.4 -0.4z = -3.6 + -4.4 Combine like terms: -3.6 + -4.4 = -8 -0.4z = -8 Divide each side by '-0.4'. z = 20 Simplifying z = 20
| 6n+x=42 | | V+1.5=5.18 | | 6(x+9)=36x | | 2(32)+2(x)=576 | | 1-1.2x=5 | | 8+3(5x-6)=5-5(2x+1) | | 3x=-2x+3-2 | | 7+4(4x-4)=7-4(2x+2) | | 7n=688 | | -4+9(2)=5(2) | | -4+9(1)=5(1) | | -4+9y=5y | | 3log(x)-6=0 | | m-80=1505x | | 8x+11y=211000 | | (w^2-6w)(w^2-6w)=0 | | 14x+72=95 | | 7(x+8)+4=10x-3(x-6) | | -12(x-11)=-9(1+7x) | | 7m-23=2m+2 | | 3x^2+675=27 | | (7+u)(3u-5)=0 | | 3x-26=x+82 | | 3+4.5=8.9 | | 5=x-(-17) | | 3x^2-15x+17=0 | | -5x-11=14 | | ln(0.15)=1 | | 12x^2-38x=-16 | | (1-v)(2v+7)=0 | | 3(3+5x)-3=36 | | 22(A-20)=198 |