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Simplifying 7(-1m + -3) = 45 + -1m Reorder the terms: 7(-3 + -1m) = 45 + -1m (-3 * 7 + -1m * 7) = 45 + -1m (-21 + -7m) = 45 + -1m Solving -21 + -7m = 45 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -21 + -7m + m = 45 + -1m + m Combine like terms: -7m + m = -6m -21 + -6m = 45 + -1m + m Combine like terms: -1m + m = 0 -21 + -6m = 45 + 0 -21 + -6m = 45 Add '21' to each side of the equation. -21 + 21 + -6m = 45 + 21 Combine like terms: -21 + 21 = 0 0 + -6m = 45 + 21 -6m = 45 + 21 Combine like terms: 45 + 21 = 66 -6m = 66 Divide each side by '-6'. m = -11 Simplifying m = -11
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