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Simplifying 2(2r + 3) + 3(4x + -1) = 51 Reorder the terms: 2(3 + 2r) + 3(4x + -1) = 51 (3 * 2 + 2r * 2) + 3(4x + -1) = 51 (6 + 4r) + 3(4x + -1) = 51 Reorder the terms: 6 + 4r + 3(-1 + 4x) = 51 6 + 4r + (-1 * 3 + 4x * 3) = 51 6 + 4r + (-3 + 12x) = 51 Reorder the terms: 6 + -3 + 4r + 12x = 51 Combine like terms: 6 + -3 = 3 3 + 4r + 12x = 51 Solving 3 + 4r + 12x = 51 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4r + -3 + 12x = 51 + -3 Reorder the terms: 3 + -3 + 4r + 12x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 4r + 12x = 51 + -3 4r + 12x = 51 + -3 Combine like terms: 51 + -3 = 48 4r + 12x = 48 Add '-12x' to each side of the equation. 4r + 12x + -12x = 48 + -12x Combine like terms: 12x + -12x = 0 4r + 0 = 48 + -12x 4r = 48 + -12x Divide each side by '4'. r = 12 + -3x Simplifying r = 12 + -3x
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