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Simplifying 7(9s + -5) = 8(8s + -1) + -12 Reorder the terms: 7(-5 + 9s) = 8(8s + -1) + -12 (-5 * 7 + 9s * 7) = 8(8s + -1) + -12 (-35 + 63s) = 8(8s + -1) + -12 Reorder the terms: -35 + 63s = 8(-1 + 8s) + -12 -35 + 63s = (-1 * 8 + 8s * 8) + -12 -35 + 63s = (-8 + 64s) + -12 Reorder the terms: -35 + 63s = -8 + -12 + 64s Combine like terms: -8 + -12 = -20 -35 + 63s = -20 + 64s Solving -35 + 63s = -20 + 64s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-64s' to each side of the equation. -35 + 63s + -64s = -20 + 64s + -64s Combine like terms: 63s + -64s = -1s -35 + -1s = -20 + 64s + -64s Combine like terms: 64s + -64s = 0 -35 + -1s = -20 + 0 -35 + -1s = -20 Add '35' to each side of the equation. -35 + 35 + -1s = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -1s = -20 + 35 -1s = -20 + 35 Combine like terms: -20 + 35 = 15 -1s = 15 Divide each side by '-1'. s = -15 Simplifying s = -15
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