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Simplifying -19 = -6(4m + 2) + -7(1 + 6m) Reorder the terms: -19 = -6(2 + 4m) + -7(1 + 6m) -19 = (2 * -6 + 4m * -6) + -7(1 + 6m) -19 = (-12 + -24m) + -7(1 + 6m) -19 = -12 + -24m + (1 * -7 + 6m * -7) -19 = -12 + -24m + (-7 + -42m) Reorder the terms: -19 = -12 + -7 + -24m + -42m Combine like terms: -12 + -7 = -19 -19 = -19 + -24m + -42m Combine like terms: -24m + -42m = -66m -19 = -19 + -66m Add '19' to each side of the equation. -19 + 19 = -19 + 19 + -66m Combine like terms: -19 + 19 = 0 0 = -19 + 19 + -66m Combine like terms: -19 + 19 = 0 0 = 0 + -66m 0 = -66m Solving 0 = -66m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '66m' to each side of the equation. 0 + 66m = -66m + 66m Remove the zero: 66m = -66m + 66m Combine like terms: -66m + 66m = 0 66m = 0 Divide each side by '66'. m = 0 Simplifying m = 0
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