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Simplifying 10r + -16 + 10r = -6(-5r + -19) Reorder the terms: -16 + 10r + 10r = -6(-5r + -19) Combine like terms: 10r + 10r = 20r -16 + 20r = -6(-5r + -19) Reorder the terms: -16 + 20r = -6(-19 + -5r) -16 + 20r = (-19 * -6 + -5r * -6) -16 + 20r = (114 + 30r) Solving -16 + 20r = 114 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. -16 + 20r + -30r = 114 + 30r + -30r Combine like terms: 20r + -30r = -10r -16 + -10r = 114 + 30r + -30r Combine like terms: 30r + -30r = 0 -16 + -10r = 114 + 0 -16 + -10r = 114 Add '16' to each side of the equation. -16 + 16 + -10r = 114 + 16 Combine like terms: -16 + 16 = 0 0 + -10r = 114 + 16 -10r = 114 + 16 Combine like terms: 114 + 16 = 130 -10r = 130 Divide each side by '-10'. r = -13 Simplifying r = -13
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