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Simplifying 6 + -3(r + 9) = 21 + 4r Reorder the terms: 6 + -3(9 + r) = 21 + 4r 6 + (9 * -3 + r * -3) = 21 + 4r 6 + (-27 + -3r) = 21 + 4r Combine like terms: 6 + -27 = -21 -21 + -3r = 21 + 4r Solving -21 + -3r = 21 + 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. -21 + -3r + -4r = 21 + 4r + -4r Combine like terms: -3r + -4r = -7r -21 + -7r = 21 + 4r + -4r Combine like terms: 4r + -4r = 0 -21 + -7r = 21 + 0 -21 + -7r = 21 Add '21' to each side of the equation. -21 + 21 + -7r = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -7r = 21 + 21 -7r = 21 + 21 Combine like terms: 21 + 21 = 42 -7r = 42 Divide each side by '-7'. r = -6 Simplifying r = -6
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