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Simplifying -2(5s + -6) + -12 = -29(8s + 8) + -3 Reorder the terms: -2(-6 + 5s) + -12 = -29(8s + 8) + -3 (-6 * -2 + 5s * -2) + -12 = -29(8s + 8) + -3 (12 + -10s) + -12 = -29(8s + 8) + -3 Reorder the terms: 12 + -12 + -10s = -29(8s + 8) + -3 Combine like terms: 12 + -12 = 0 0 + -10s = -29(8s + 8) + -3 -10s = -29(8s + 8) + -3 Reorder the terms: -10s = -29(8 + 8s) + -3 -10s = (8 * -29 + 8s * -29) + -3 -10s = (-232 + -232s) + -3 Reorder the terms: -10s = -232 + -3 + -232s Combine like terms: -232 + -3 = -235 -10s = -235 + -232s Solving -10s = -235 + -232s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '232s' to each side of the equation. -10s + 232s = -235 + -232s + 232s Combine like terms: -10s + 232s = 222s 222s = -235 + -232s + 232s Combine like terms: -232s + 232s = 0 222s = -235 + 0 222s = -235 Divide each side by '222'. s = -1.058558559 Simplifying s = -1.058558559
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