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Simplifying s + -13 = 3(s + -15) + 2s Reorder the terms: -13 + s = 3(s + -15) + 2s Reorder the terms: -13 + s = 3(-15 + s) + 2s -13 + s = (-15 * 3 + s * 3) + 2s -13 + s = (-45 + 3s) + 2s Combine like terms: 3s + 2s = 5s -13 + s = -45 + 5s Solving -13 + s = -45 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -13 + s + -5s = -45 + 5s + -5s Combine like terms: s + -5s = -4s -13 + -4s = -45 + 5s + -5s Combine like terms: 5s + -5s = 0 -13 + -4s = -45 + 0 -13 + -4s = -45 Add '13' to each side of the equation. -13 + 13 + -4s = -45 + 13 Combine like terms: -13 + 13 = 0 0 + -4s = -45 + 13 -4s = -45 + 13 Combine like terms: -45 + 13 = -32 -4s = -32 Divide each side by '-4'. s = 8 Simplifying s = 8
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