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Simplifying 5pm + 4(4p + 6) + 6 = 0 Reorder the terms: 5mp + 4(6 + 4p) + 6 = 0 5mp + (6 * 4 + 4p * 4) + 6 = 0 5mp + (24 + 16p) + 6 = 0 Reorder the terms: 24 + 6 + 5mp + 16p = 0 Combine like terms: 24 + 6 = 30 30 + 5mp + 16p = 0 Solving 30 + 5mp + 16p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5mp + -30 + 16p = 0 + -30 Reorder the terms: 30 + -30 + 5mp + 16p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5mp + 16p = 0 + -30 5mp + 16p = 0 + -30 Combine like terms: 0 + -30 = -30 5mp + 16p = -30 Add '-16p' to each side of the equation. 5mp + 16p + -16p = -30 + -16p Combine like terms: 16p + -16p = 0 5mp + 0 = -30 + -16p 5mp = -30 + -16p Divide each side by '5p'. m = -6p-1 + -3.2 Simplifying m = -6p-1 + -3.2 Reorder the terms: m = -3.2 + -6p-1
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