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Simplifying -2r + 3(r + -7) = -3(r + 7) Reorder the terms: -2r + 3(-7 + r) = -3(r + 7) -2r + (-7 * 3 + r * 3) = -3(r + 7) -2r + (-21 + 3r) = -3(r + 7) Reorder the terms: -21 + -2r + 3r = -3(r + 7) Combine like terms: -2r + 3r = 1r -21 + 1r = -3(r + 7) Reorder the terms: -21 + 1r = -3(7 + r) -21 + 1r = (7 * -3 + r * -3) -21 + 1r = (-21 + -3r) Add '21' to each side of the equation. -21 + 21 + 1r = -21 + 21 + -3r Combine like terms: -21 + 21 = 0 0 + 1r = -21 + 21 + -3r 1r = -21 + 21 + -3r Combine like terms: -21 + 21 = 0 1r = 0 + -3r 1r = -3r Solving 1r = -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 1r + 3r = -3r + 3r Combine like terms: 1r + 3r = 4r 4r = -3r + 3r Combine like terms: -3r + 3r = 0 4r = 0 Divide each side by '4'. r = 0 Simplifying r = 0
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