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Simplifying -3(5s + -4) + -12 = -3(8s + 2) + -4 Reorder the terms: -3(-4 + 5s) + -12 = -3(8s + 2) + -4 (-4 * -3 + 5s * -3) + -12 = -3(8s + 2) + -4 (12 + -15s) + -12 = -3(8s + 2) + -4 Reorder the terms: 12 + -12 + -15s = -3(8s + 2) + -4 Combine like terms: 12 + -12 = 0 0 + -15s = -3(8s + 2) + -4 -15s = -3(8s + 2) + -4 Reorder the terms: -15s = -3(2 + 8s) + -4 -15s = (2 * -3 + 8s * -3) + -4 -15s = (-6 + -24s) + -4 Reorder the terms: -15s = -6 + -4 + -24s Combine like terms: -6 + -4 = -10 -15s = -10 + -24s Solving -15s = -10 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. -15s + 24s = -10 + -24s + 24s Combine like terms: -15s + 24s = 9s 9s = -10 + -24s + 24s Combine like terms: -24s + 24s = 0 9s = -10 + 0 9s = -10 Divide each side by '9'. s = -1.111111111 Simplifying s = -1.111111111
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