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Simplifying 3(s + -4) = 80 + -2(3s + 1) Reorder the terms: 3(-4 + s) = 80 + -2(3s + 1) (-4 * 3 + s * 3) = 80 + -2(3s + 1) (-12 + 3s) = 80 + -2(3s + 1) Reorder the terms: -12 + 3s = 80 + -2(1 + 3s) -12 + 3s = 80 + (1 * -2 + 3s * -2) -12 + 3s = 80 + (-2 + -6s) Combine like terms: 80 + -2 = 78 -12 + 3s = 78 + -6s Solving -12 + 3s = 78 + -6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6s' to each side of the equation. -12 + 3s + 6s = 78 + -6s + 6s Combine like terms: 3s + 6s = 9s -12 + 9s = 78 + -6s + 6s Combine like terms: -6s + 6s = 0 -12 + 9s = 78 + 0 -12 + 9s = 78 Add '12' to each side of the equation. -12 + 12 + 9s = 78 + 12 Combine like terms: -12 + 12 = 0 0 + 9s = 78 + 12 9s = 78 + 12 Combine like terms: 78 + 12 = 90 9s = 90 Divide each side by '9'. s = 10 Simplifying s = 10
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