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Simplifying 4(r + -2) + -3r = -4 + 6 Reorder the terms: 4(-2 + r) + -3r = -4 + 6 (-2 * 4 + r * 4) + -3r = -4 + 6 (-8 + 4r) + -3r = -4 + 6 Combine like terms: 4r + -3r = 1r -8 + 1r = -4 + 6 Combine like terms: -4 + 6 = 2 -8 + 1r = 2 Solving -8 + 1r = 2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1r = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1r = 2 + 8 1r = 2 + 8 Combine like terms: 2 + 8 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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