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Simplifying 4(s + -8) = 7(s + -3) + 4 Reorder the terms: 4(-8 + s) = 7(s + -3) + 4 (-8 * 4 + s * 4) = 7(s + -3) + 4 (-32 + 4s) = 7(s + -3) + 4 Reorder the terms: -32 + 4s = 7(-3 + s) + 4 -32 + 4s = (-3 * 7 + s * 7) + 4 -32 + 4s = (-21 + 7s) + 4 Reorder the terms: -32 + 4s = -21 + 4 + 7s Combine like terms: -21 + 4 = -17 -32 + 4s = -17 + 7s Solving -32 + 4s = -17 + 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. -32 + 4s + -7s = -17 + 7s + -7s Combine like terms: 4s + -7s = -3s -32 + -3s = -17 + 7s + -7s Combine like terms: 7s + -7s = 0 -32 + -3s = -17 + 0 -32 + -3s = -17 Add '32' to each side of the equation. -32 + 32 + -3s = -17 + 32 Combine like terms: -32 + 32 = 0 0 + -3s = -17 + 32 -3s = -17 + 32 Combine like terms: -17 + 32 = 15 -3s = 15 Divide each side by '-3'. s = -5 Simplifying s = -5
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