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Simplifying 8r + -5(3r + 3) = -4r + 6 Reorder the terms: 8r + -5(3 + 3r) = -4r + 6 8r + (3 * -5 + 3r * -5) = -4r + 6 8r + (-15 + -15r) = -4r + 6 Reorder the terms: -15 + 8r + -15r = -4r + 6 Combine like terms: 8r + -15r = -7r -15 + -7r = -4r + 6 Reorder the terms: -15 + -7r = 6 + -4r Solving -15 + -7r = 6 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -15 + -7r + 4r = 6 + -4r + 4r Combine like terms: -7r + 4r = -3r -15 + -3r = 6 + -4r + 4r Combine like terms: -4r + 4r = 0 -15 + -3r = 6 + 0 -15 + -3r = 6 Add '15' to each side of the equation. -15 + 15 + -3r = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3r = 6 + 15 -3r = 6 + 15 Combine like terms: 6 + 15 = 21 -3r = 21 Divide each side by '-3'. r = -7 Simplifying r = -7
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