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Simplifying -35m + 12m + 18 = 46 + -19m Reorder the terms: 18 + -35m + 12m = 46 + -19m Combine like terms: -35m + 12m = -23m 18 + -23m = 46 + -19m Solving 18 + -23m = 46 + -19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '19m' to each side of the equation. 18 + -23m + 19m = 46 + -19m + 19m Combine like terms: -23m + 19m = -4m 18 + -4m = 46 + -19m + 19m Combine like terms: -19m + 19m = 0 18 + -4m = 46 + 0 18 + -4m = 46 Add '-18' to each side of the equation. 18 + -18 + -4m = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -4m = 46 + -18 -4m = 46 + -18 Combine like terms: 46 + -18 = 28 -4m = 28 Divide each side by '-4'. m = -7 Simplifying m = -7
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