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Simplifying 6(2x + -3) + 8r = -1x + -3(-5x + 2) Reorder the terms: 6(-3 + 2x) + 8r = -1x + -3(-5x + 2) (-3 * 6 + 2x * 6) + 8r = -1x + -3(-5x + 2) (-18 + 12x) + 8r = -1x + -3(-5x + 2) Reorder the terms: -18 + 8r + 12x = -1x + -3(-5x + 2) Reorder the terms: -18 + 8r + 12x = -1x + -3(2 + -5x) -18 + 8r + 12x = -1x + (2 * -3 + -5x * -3) -18 + 8r + 12x = -1x + (-6 + 15x) Reorder the terms: -18 + 8r + 12x = -6 + -1x + 15x Combine like terms: -1x + 15x = 14x -18 + 8r + 12x = -6 + 14x Solving -18 + 8r + 12x = -6 + 14x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 8r + 18 + 12x = -6 + 18 + 14x Reorder the terms: -18 + 18 + 8r + 12x = -6 + 18 + 14x Combine like terms: -18 + 18 = 0 0 + 8r + 12x = -6 + 18 + 14x 8r + 12x = -6 + 18 + 14x Combine like terms: -6 + 18 = 12 8r + 12x = 12 + 14x Add '-12x' to each side of the equation. 8r + 12x + -12x = 12 + 14x + -12x Combine like terms: 12x + -12x = 0 8r + 0 = 12 + 14x + -12x 8r = 12 + 14x + -12x Combine like terms: 14x + -12x = 2x 8r = 12 + 2x Divide each side by '8'. r = 1.5 + 0.25x Simplifying r = 1.5 + 0.25x
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