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Simplifying 5(s + -8) + -7 = 7s + -1 Reorder the terms: 5(-8 + s) + -7 = 7s + -1 (-8 * 5 + s * 5) + -7 = 7s + -1 (-40 + 5s) + -7 = 7s + -1 Reorder the terms: -40 + -7 + 5s = 7s + -1 Combine like terms: -40 + -7 = -47 -47 + 5s = 7s + -1 Reorder the terms: -47 + 5s = -1 + 7s Solving -47 + 5s = -1 + 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. -47 + 5s + -7s = -1 + 7s + -7s Combine like terms: 5s + -7s = -2s -47 + -2s = -1 + 7s + -7s Combine like terms: 7s + -7s = 0 -47 + -2s = -1 + 0 -47 + -2s = -1 Add '47' to each side of the equation. -47 + 47 + -2s = -1 + 47 Combine like terms: -47 + 47 = 0 0 + -2s = -1 + 47 -2s = -1 + 47 Combine like terms: -1 + 47 = 46 -2s = 46 Divide each side by '-2'. s = -23 Simplifying s = -23
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