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Simplifying 4(m + -5) + -4(9 + -5m) = 23(m + -1) + -4 Reorder the terms: 4(-5 + m) + -4(9 + -5m) = 23(m + -1) + -4 (-5 * 4 + m * 4) + -4(9 + -5m) = 23(m + -1) + -4 (-20 + 4m) + -4(9 + -5m) = 23(m + -1) + -4 -20 + 4m + (9 * -4 + -5m * -4) = 23(m + -1) + -4 -20 + 4m + (-36 + 20m) = 23(m + -1) + -4 Reorder the terms: -20 + -36 + 4m + 20m = 23(m + -1) + -4 Combine like terms: -20 + -36 = -56 -56 + 4m + 20m = 23(m + -1) + -4 Combine like terms: 4m + 20m = 24m -56 + 24m = 23(m + -1) + -4 Reorder the terms: -56 + 24m = 23(-1 + m) + -4 -56 + 24m = (-1 * 23 + m * 23) + -4 -56 + 24m = (-23 + 23m) + -4 Reorder the terms: -56 + 24m = -23 + -4 + 23m Combine like terms: -23 + -4 = -27 -56 + 24m = -27 + 23m Solving -56 + 24m = -27 + 23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23m' to each side of the equation. -56 + 24m + -23m = -27 + 23m + -23m Combine like terms: 24m + -23m = 1m -56 + 1m = -27 + 23m + -23m Combine like terms: 23m + -23m = 0 -56 + 1m = -27 + 0 -56 + 1m = -27 Add '56' to each side of the equation. -56 + 56 + 1m = -27 + 56 Combine like terms: -56 + 56 = 0 0 + 1m = -27 + 56 1m = -27 + 56 Combine like terms: -27 + 56 = 29 1m = 29 Divide each side by '1'. m = 29 Simplifying m = 29
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