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Simplifying 3s + -13 = 3 + -5(3s + -4) Reorder the terms: -13 + 3s = 3 + -5(3s + -4) Reorder the terms: -13 + 3s = 3 + -5(-4 + 3s) -13 + 3s = 3 + (-4 * -5 + 3s * -5) -13 + 3s = 3 + (20 + -15s) Combine like terms: 3 + 20 = 23 -13 + 3s = 23 + -15s Solving -13 + 3s = 23 + -15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '15s' to each side of the equation. -13 + 3s + 15s = 23 + -15s + 15s Combine like terms: 3s + 15s = 18s -13 + 18s = 23 + -15s + 15s Combine like terms: -15s + 15s = 0 -13 + 18s = 23 + 0 -13 + 18s = 23 Add '13' to each side of the equation. -13 + 13 + 18s = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 18s = 23 + 13 18s = 23 + 13 Combine like terms: 23 + 13 = 36 18s = 36 Divide each side by '18'. s = 2 Simplifying s = 2
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