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Simplifying 8r + 19 = -3(-7r + 7) + -3r Reorder the terms: 19 + 8r = -3(-7r + 7) + -3r Reorder the terms: 19 + 8r = -3(7 + -7r) + -3r 19 + 8r = (7 * -3 + -7r * -3) + -3r 19 + 8r = (-21 + 21r) + -3r Combine like terms: 21r + -3r = 18r 19 + 8r = -21 + 18r Solving 19 + 8r = -21 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 19 + 8r + -18r = -21 + 18r + -18r Combine like terms: 8r + -18r = -10r 19 + -10r = -21 + 18r + -18r Combine like terms: 18r + -18r = 0 19 + -10r = -21 + 0 19 + -10r = -21 Add '-19' to each side of the equation. 19 + -19 + -10r = -21 + -19 Combine like terms: 19 + -19 = 0 0 + -10r = -21 + -19 -10r = -21 + -19 Combine like terms: -21 + -19 = -40 -10r = -40 Divide each side by '-10'. r = 4 Simplifying r = 4
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