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Simplifying 5m + 7 = 5m + s + 1 Reorder the terms: 7 + 5m = 5m + s + 1 Reorder the terms: 7 + 5m = 1 + 5m + s Add '-5m' to each side of the equation. 7 + 5m + -5m = 1 + 5m + -5m + s Combine like terms: 5m + -5m = 0 7 + 0 = 1 + 5m + -5m + s 7 = 1 + 5m + -5m + s Combine like terms: 5m + -5m = 0 7 = 1 + 0 + s 7 = 1 + s Solving 7 = 1 + s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. 7 + -1s = 1 + s + -1s Combine like terms: s + -1s = 0 7 + -1s = 1 + 0 7 + -1s = 1 Add '-7' to each side of the equation. 7 + -7 + -1s = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 1 + -7 -1s = 1 + -7 Combine like terms: 1 + -7 = -6 -1s = -6 Divide each side by '-1'. s = 6 Simplifying s = 6
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