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Simplifying 5 + -1(t + 4) = -1 + 2(t + -3) Reorder the terms: 5 + -1(4 + t) = -1 + 2(t + -3) 5 + (4 * -1 + t * -1) = -1 + 2(t + -3) 5 + (-4 + -1t) = -1 + 2(t + -3) Combine like terms: 5 + -4 = 1 1 + -1t = -1 + 2(t + -3) Reorder the terms: 1 + -1t = -1 + 2(-3 + t) 1 + -1t = -1 + (-3 * 2 + t * 2) 1 + -1t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 1 + -1t = -7 + 2t Solving 1 + -1t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + -1t + -2t = -7 + 2t + -2t Combine like terms: -1t + -2t = -3t 1 + -3t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + -3t = -7 + 0 1 + -3t = -7 Add '-1' to each side of the equation. 1 + -1 + -3t = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = -7 + -1 -3t = -7 + -1 Combine like terms: -7 + -1 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
| 4d+12=5d-8 | | S=-5t^2+18+8 | | -2x-108=8x+42 | | 2x-6=8+x+2 | | 8x-5x=21 | | 8/5b=5 | | 2(c+3)-5=6c-2(1+2c) | | 4y+13=5y+5 | | 126+(8x-2)=90 | | 6-7v=-6v-2 | | 4.5w=5 | | 8x-6(1)=6 | | -29-22= | | 28+6g=4g | | -4x=94 | | 4=2+-12 | | 126+(8x-2)=180 | | X^2-14=4x | | 2(x-1)+6x=4(0-1)+2 | | -9y-12+y=20 | | t+25=6 | | 3x+17=6x+3+8 | | y.18=21/63 | | 17.2=x+2 | | c/28=46/16 | | 5v^2+24v-36=0 | | 2(x-1)+6x=4(8-1)+2 | | (15x+1)+(10+12x)=90 | | -13u=12-11u | | -4n-6=-7+2n | | 45/18=s/35 | | (15x+1)+(10+12x)=180 |