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Simplifying -4(-5r + 11) = -7(-3r + 7) + 19 Reorder the terms: -4(11 + -5r) = -7(-3r + 7) + 19 (11 * -4 + -5r * -4) = -7(-3r + 7) + 19 (-44 + 20r) = -7(-3r + 7) + 19 Reorder the terms: -44 + 20r = -7(7 + -3r) + 19 -44 + 20r = (7 * -7 + -3r * -7) + 19 -44 + 20r = (-49 + 21r) + 19 Reorder the terms: -44 + 20r = -49 + 19 + 21r Combine like terms: -49 + 19 = -30 -44 + 20r = -30 + 21r Solving -44 + 20r = -30 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -44 + 20r + -21r = -30 + 21r + -21r Combine like terms: 20r + -21r = -1r -44 + -1r = -30 + 21r + -21r Combine like terms: 21r + -21r = 0 -44 + -1r = -30 + 0 -44 + -1r = -30 Add '44' to each side of the equation. -44 + 44 + -1r = -30 + 44 Combine like terms: -44 + 44 = 0 0 + -1r = -30 + 44 -1r = -30 + 44 Combine like terms: -30 + 44 = 14 -1r = 14 Divide each side by '-1'. r = -14 Simplifying r = -14
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