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Simplifying 7m + 4(4m + -4) = 6(m + 3) Reorder the terms: 7m + 4(-4 + 4m) = 6(m + 3) 7m + (-4 * 4 + 4m * 4) = 6(m + 3) 7m + (-16 + 16m) = 6(m + 3) Reorder the terms: -16 + 7m + 16m = 6(m + 3) Combine like terms: 7m + 16m = 23m -16 + 23m = 6(m + 3) Reorder the terms: -16 + 23m = 6(3 + m) -16 + 23m = (3 * 6 + m * 6) -16 + 23m = (18 + 6m) Solving -16 + 23m = 18 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -16 + 23m + -6m = 18 + 6m + -6m Combine like terms: 23m + -6m = 17m -16 + 17m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 -16 + 17m = 18 + 0 -16 + 17m = 18 Add '16' to each side of the equation. -16 + 16 + 17m = 18 + 16 Combine like terms: -16 + 16 = 0 0 + 17m = 18 + 16 17m = 18 + 16 Combine like terms: 18 + 16 = 34 17m = 34 Divide each side by '17'. m = 2 Simplifying m = 2
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