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Simplifying 3(4y + m) + 4(2m + 2) + 7y + 13 = 0 Reorder the terms: 3(m + 4y) + 4(2m + 2) + 7y + 13 = 0 (m * 3 + 4y * 3) + 4(2m + 2) + 7y + 13 = 0 (3m + 12y) + 4(2m + 2) + 7y + 13 = 0 Reorder the terms: 3m + 12y + 4(2 + 2m) + 7y + 13 = 0 3m + 12y + (2 * 4 + 2m * 4) + 7y + 13 = 0 3m + 12y + (8 + 8m) + 7y + 13 = 0 Reorder the terms: 8 + 13 + 3m + 8m + 12y + 7y = 0 Combine like terms: 8 + 13 = 21 21 + 3m + 8m + 12y + 7y = 0 Combine like terms: 3m + 8m = 11m 21 + 11m + 12y + 7y = 0 Combine like terms: 12y + 7y = 19y 21 + 11m + 19y = 0 Solving 21 + 11m + 19y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 11m + -21 + 19y = 0 + -21 Reorder the terms: 21 + -21 + 11m + 19y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 11m + 19y = 0 + -21 11m + 19y = 0 + -21 Combine like terms: 0 + -21 = -21 11m + 19y = -21 Add '-19y' to each side of the equation. 11m + 19y + -19y = -21 + -19y Combine like terms: 19y + -19y = 0 11m + 0 = -21 + -19y 11m = -21 + -19y Divide each side by '11'. m = -1.909090909 + -1.727272727y Simplifying m = -1.909090909 + -1.727272727y
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