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Simplifying -12 + -9(7s + 20) = -8(10s + 7) Reorder the terms: -12 + -9(20 + 7s) = -8(10s + 7) -12 + (20 * -9 + 7s * -9) = -8(10s + 7) -12 + (-180 + -63s) = -8(10s + 7) Combine like terms: -12 + -180 = -192 -192 + -63s = -8(10s + 7) Reorder the terms: -192 + -63s = -8(7 + 10s) -192 + -63s = (7 * -8 + 10s * -8) -192 + -63s = (-56 + -80s) Solving -192 + -63s = -56 + -80s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '80s' to each side of the equation. -192 + -63s + 80s = -56 + -80s + 80s Combine like terms: -63s + 80s = 17s -192 + 17s = -56 + -80s + 80s Combine like terms: -80s + 80s = 0 -192 + 17s = -56 + 0 -192 + 17s = -56 Add '192' to each side of the equation. -192 + 192 + 17s = -56 + 192 Combine like terms: -192 + 192 = 0 0 + 17s = -56 + 192 17s = -56 + 192 Combine like terms: -56 + 192 = 136 17s = 136 Divide each side by '17'. s = 8 Simplifying s = 8
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