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Simplifying 3m + -38 = -7(m + -6) Reorder the terms: -38 + 3m = -7(m + -6) Reorder the terms: -38 + 3m = -7(-6 + m) -38 + 3m = (-6 * -7 + m * -7) -38 + 3m = (42 + -7m) Solving -38 + 3m = 42 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -38 + 3m + 7m = 42 + -7m + 7m Combine like terms: 3m + 7m = 10m -38 + 10m = 42 + -7m + 7m Combine like terms: -7m + 7m = 0 -38 + 10m = 42 + 0 -38 + 10m = 42 Add '38' to each side of the equation. -38 + 38 + 10m = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 10m = 42 + 38 10m = 42 + 38 Combine like terms: 42 + 38 = 80 10m = 80 Divide each side by '10'. m = 8 Simplifying m = 8
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