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Simplifying -12(11m + 48) + 1604 = -3106 + -18(5m + -15) Reorder the terms: -12(48 + 11m) + 1604 = -3106 + -18(5m + -15) (48 * -12 + 11m * -12) + 1604 = -3106 + -18(5m + -15) (-576 + -132m) + 1604 = -3106 + -18(5m + -15) Reorder the terms: -576 + 1604 + -132m = -3106 + -18(5m + -15) Combine like terms: -576 + 1604 = 1028 1028 + -132m = -3106 + -18(5m + -15) Reorder the terms: 1028 + -132m = -3106 + -18(-15 + 5m) 1028 + -132m = -3106 + (-15 * -18 + 5m * -18) 1028 + -132m = -3106 + (270 + -90m) Combine like terms: -3106 + 270 = -2836 1028 + -132m = -2836 + -90m Solving 1028 + -132m = -2836 + -90m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '90m' to each side of the equation. 1028 + -132m + 90m = -2836 + -90m + 90m Combine like terms: -132m + 90m = -42m 1028 + -42m = -2836 + -90m + 90m Combine like terms: -90m + 90m = 0 1028 + -42m = -2836 + 0 1028 + -42m = -2836 Add '-1028' to each side of the equation. 1028 + -1028 + -42m = -2836 + -1028 Combine like terms: 1028 + -1028 = 0 0 + -42m = -2836 + -1028 -42m = -2836 + -1028 Combine like terms: -2836 + -1028 = -3864 -42m = -3864 Divide each side by '-42'. m = 92 Simplifying m = 92
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