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Simplifying 4r + 3(2 + -7r) = -2r + 6 4r + (2 * 3 + -7r * 3) = -2r + 6 4r + (6 + -21r) = -2r + 6 Reorder the terms: 6 + 4r + -21r = -2r + 6 Combine like terms: 4r + -21r = -17r 6 + -17r = -2r + 6 Reorder the terms: 6 + -17r = 6 + -2r Add '-6' to each side of the equation. 6 + -6 + -17r = 6 + -6 + -2r Combine like terms: 6 + -6 = 0 0 + -17r = 6 + -6 + -2r -17r = 6 + -6 + -2r Combine like terms: 6 + -6 = 0 -17r = 0 + -2r -17r = -2r Solving -17r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -17r + 2r = -2r + 2r Combine like terms: -17r + 2r = -15r -15r = -2r + 2r Combine like terms: -2r + 2r = 0 -15r = 0 Divide each side by '-15'. r = 0 Simplifying r = 0
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