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Simplifying 4 + -5(8n + 3) = -7(6n + 1) Reorder the terms: 4 + -5(3 + 8n) = -7(6n + 1) 4 + (3 * -5 + 8n * -5) = -7(6n + 1) 4 + (-15 + -40n) = -7(6n + 1) Combine like terms: 4 + -15 = -11 -11 + -40n = -7(6n + 1) Reorder the terms: -11 + -40n = -7(1 + 6n) -11 + -40n = (1 * -7 + 6n * -7) -11 + -40n = (-7 + -42n) Solving -11 + -40n = -7 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -11 + -40n + 42n = -7 + -42n + 42n Combine like terms: -40n + 42n = 2n -11 + 2n = -7 + -42n + 42n Combine like terms: -42n + 42n = 0 -11 + 2n = -7 + 0 -11 + 2n = -7 Add '11' to each side of the equation. -11 + 11 + 2n = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 2n = -7 + 11 2n = -7 + 11 Combine like terms: -7 + 11 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
| 2(3p+2q)+5(3p+q)= | | 10(7y-2-3)=4(2+6y-4) | | 5x+4=15y+4 | | k/2=6 | | t+6=18 | | -9=a-1 | | 4=k+6 | | -4=d-10 | | 2x+1=2y+1 | | 2x+5/8=3x-5/8 | | 7+3(2+w)=5(w-3) | | 15=t+10 | | 7d=-49 | | 2k=-12 | | -6t=-54 | | 2t=12 | | b/7=5 | | -6(1+6b)=-6(-3+7b) | | 6-1/10x=1/5 | | 3z+3c=70forz | | 10+t=5 | | -4+d=6 | | a-6=-2 | | n=5P+4 | | m/4=-4 | | 1/3x+2/5=11/15 | | 2x+3=2y+5 | | 8=n-2 | | a-4=0 | | 10+d=1 | | t+7=10 | | 7+a=3 |