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Simplifying 48m + 36 = 6(3m + -19) Reorder the terms: 36 + 48m = 6(3m + -19) Reorder the terms: 36 + 48m = 6(-19 + 3m) 36 + 48m = (-19 * 6 + 3m * 6) 36 + 48m = (-114 + 18m) Solving 36 + 48m = -114 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 36 + 48m + -18m = -114 + 18m + -18m Combine like terms: 48m + -18m = 30m 36 + 30m = -114 + 18m + -18m Combine like terms: 18m + -18m = 0 36 + 30m = -114 + 0 36 + 30m = -114 Add '-36' to each side of the equation. 36 + -36 + 30m = -114 + -36 Combine like terms: 36 + -36 = 0 0 + 30m = -114 + -36 30m = -114 + -36 Combine like terms: -114 + -36 = -150 30m = -150 Divide each side by '30'. m = -5 Simplifying m = -5
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