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Simplifying 7(m + -21) + -6(7m + -14) = 7 * 1 Reorder the terms: 7(-21 + m) + -6(7m + -14) = 7 * 1 (-21 * 7 + m * 7) + -6(7m + -14) = 7 * 1 (-147 + 7m) + -6(7m + -14) = 7 * 1 Reorder the terms: -147 + 7m + -6(-14 + 7m) = 7 * 1 -147 + 7m + (-14 * -6 + 7m * -6) = 7 * 1 -147 + 7m + (84 + -42m) = 7 * 1 Reorder the terms: -147 + 84 + 7m + -42m = 7 * 1 Combine like terms: -147 + 84 = -63 -63 + 7m + -42m = 7 * 1 Combine like terms: 7m + -42m = -35m -63 + -35m = 7 * 1 Multiply 7 * 1 -63 + -35m = 7 Solving -63 + -35m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -35m = 7 + 63 Combine like terms: -63 + 63 = 0 0 + -35m = 7 + 63 -35m = 7 + 63 Combine like terms: 7 + 63 = 70 -35m = 70 Divide each side by '-35'. m = -2 Simplifying m = -2
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