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Simplifying -2(5s + -3) + -6 = -3(6s + 0) + -5 Reorder the terms: -2(-3 + 5s) + -6 = -3(6s + 0) + -5 (-3 * -2 + 5s * -2) + -6 = -3(6s + 0) + -5 (6 + -10s) + -6 = -3(6s + 0) + -5 Reorder the terms: 6 + -6 + -10s = -3(6s + 0) + -5 Combine like terms: 6 + -6 = 0 0 + -10s = -3(6s + 0) + -5 -10s = -3(6s + 0) + -5 Reorder the terms: -10s = -3(0 + 6s) + -5 Remove the zero: -10s = -3(6s) + -5 Remove parenthesis around (6s) -10s = -3 * 6s + -5 Multiply -3 * 6 -10s = -18s + -5 Reorder the terms: -10s = -5 + -18s Solving -10s = -5 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -10s + 18s = -5 + -18s + 18s Combine like terms: -10s + 18s = 8s 8s = -5 + -18s + 18s Combine like terms: -18s + 18s = 0 8s = -5 + 0 8s = -5 Divide each side by '8'. s = -0.625 Simplifying s = -0.625
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