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Simplifying -1(3r + -1) + -3(5x + -6) + -3x = 0 Reorder the terms: -1(-1 + 3r) + -3(5x + -6) + -3x = 0 (-1 * -1 + 3r * -1) + -3(5x + -6) + -3x = 0 (1 + -3r) + -3(5x + -6) + -3x = 0 Reorder the terms: 1 + -3r + -3(-6 + 5x) + -3x = 0 1 + -3r + (-6 * -3 + 5x * -3) + -3x = 0 1 + -3r + (18 + -15x) + -3x = 0 Reorder the terms: 1 + 18 + -3r + -15x + -3x = 0 Combine like terms: 1 + 18 = 19 19 + -3r + -15x + -3x = 0 Combine like terms: -15x + -3x = -18x 19 + -3r + -18x = 0 Solving 19 + -3r + -18x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -3r + -19 + -18x = 0 + -19 Reorder the terms: 19 + -19 + -3r + -18x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3r + -18x = 0 + -19 -3r + -18x = 0 + -19 Combine like terms: 0 + -19 = -19 -3r + -18x = -19 Add '18x' to each side of the equation. -3r + -18x + 18x = -19 + 18x Combine like terms: -18x + 18x = 0 -3r + 0 = -19 + 18x -3r = -19 + 18x Divide each side by '-3'. r = 6.333333333 + -6x Simplifying r = 6.333333333 + -6x
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