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Simplifying 5(s + -9) = 7(s + -3) + 2 Reorder the terms: 5(-9 + s) = 7(s + -3) + 2 (-9 * 5 + s * 5) = 7(s + -3) + 2 (-45 + 5s) = 7(s + -3) + 2 Reorder the terms: -45 + 5s = 7(-3 + s) + 2 -45 + 5s = (-3 * 7 + s * 7) + 2 -45 + 5s = (-21 + 7s) + 2 Reorder the terms: -45 + 5s = -21 + 2 + 7s Combine like terms: -21 + 2 = -19 -45 + 5s = -19 + 7s Solving -45 + 5s = -19 + 7s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7s' to each side of the equation. -45 + 5s + -7s = -19 + 7s + -7s Combine like terms: 5s + -7s = -2s -45 + -2s = -19 + 7s + -7s Combine like terms: 7s + -7s = 0 -45 + -2s = -19 + 0 -45 + -2s = -19 Add '45' to each side of the equation. -45 + 45 + -2s = -19 + 45 Combine like terms: -45 + 45 = 0 0 + -2s = -19 + 45 -2s = -19 + 45 Combine like terms: -19 + 45 = 26 -2s = 26 Divide each side by '-2'. s = -13 Simplifying s = -13
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