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Simplifying 4(3m + -10) + -6(7m + -6) = 74 Reorder the terms: 4(-10 + 3m) + -6(7m + -6) = 74 (-10 * 4 + 3m * 4) + -6(7m + -6) = 74 (-40 + 12m) + -6(7m + -6) = 74 Reorder the terms: -40 + 12m + -6(-6 + 7m) = 74 -40 + 12m + (-6 * -6 + 7m * -6) = 74 -40 + 12m + (36 + -42m) = 74 Reorder the terms: -40 + 36 + 12m + -42m = 74 Combine like terms: -40 + 36 = -4 -4 + 12m + -42m = 74 Combine like terms: 12m + -42m = -30m -4 + -30m = 74 Solving -4 + -30m = 74 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -30m = 74 + 4 Combine like terms: -4 + 4 = 0 0 + -30m = 74 + 4 -30m = 74 + 4 Combine like terms: 74 + 4 = 78 -30m = 78 Divide each side by '-30'. m = -2.6 Simplifying m = -2.6
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