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Simplifying 19 + -7(8m + 3) = 3(-16m + 18) Reorder the terms: 19 + -7(3 + 8m) = 3(-16m + 18) 19 + (3 * -7 + 8m * -7) = 3(-16m + 18) 19 + (-21 + -56m) = 3(-16m + 18) Combine like terms: 19 + -21 = -2 -2 + -56m = 3(-16m + 18) Reorder the terms: -2 + -56m = 3(18 + -16m) -2 + -56m = (18 * 3 + -16m * 3) -2 + -56m = (54 + -48m) Solving -2 + -56m = 54 + -48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48m' to each side of the equation. -2 + -56m + 48m = 54 + -48m + 48m Combine like terms: -56m + 48m = -8m -2 + -8m = 54 + -48m + 48m Combine like terms: -48m + 48m = 0 -2 + -8m = 54 + 0 -2 + -8m = 54 Add '2' to each side of the equation. -2 + 2 + -8m = 54 + 2 Combine like terms: -2 + 2 = 0 0 + -8m = 54 + 2 -8m = 54 + 2 Combine like terms: 54 + 2 = 56 -8m = 56 Divide each side by '-8'. m = -7 Simplifying m = -7
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