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Simplifying 5(2r + -3) = 6(x + -1) + 4x Reorder the terms: 5(-3 + 2r) = 6(x + -1) + 4x (-3 * 5 + 2r * 5) = 6(x + -1) + 4x (-15 + 10r) = 6(x + -1) + 4x Reorder the terms: -15 + 10r = 6(-1 + x) + 4x -15 + 10r = (-1 * 6 + x * 6) + 4x -15 + 10r = (-6 + 6x) + 4x Combine like terms: 6x + 4x = 10x -15 + 10r = -6 + 10x Solving -15 + 10r = -6 + 10x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10r = -6 + 15 + 10x Combine like terms: -15 + 15 = 0 0 + 10r = -6 + 15 + 10x 10r = -6 + 15 + 10x Combine like terms: -6 + 15 = 9 10r = 9 + 10x Divide each side by '10'. r = 0.9 + x Simplifying r = 0.9 + x
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