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Simplifying 9(r + -7) + -10(r + -5) = -19 Reorder the terms: 9(-7 + r) + -10(r + -5) = -19 (-7 * 9 + r * 9) + -10(r + -5) = -19 (-63 + 9r) + -10(r + -5) = -19 Reorder the terms: -63 + 9r + -10(-5 + r) = -19 -63 + 9r + (-5 * -10 + r * -10) = -19 -63 + 9r + (50 + -10r) = -19 Reorder the terms: -63 + 50 + 9r + -10r = -19 Combine like terms: -63 + 50 = -13 -13 + 9r + -10r = -19 Combine like terms: 9r + -10r = -1r -13 + -1r = -19 Solving -13 + -1r = -19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1r = -19 + 13 Combine like terms: -13 + 13 = 0 0 + -1r = -19 + 13 -1r = -19 + 13 Combine like terms: -19 + 13 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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