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Simplifying -3[7 + r] + -10 = -19 [7 * -3 + r * -3] + -10 = -19 [-21 + -3r] + -10 = -19 Reorder the terms: -21 + -10 + -3r = -19 Combine like terms: -21 + -10 = -31 -31 + -3r = -19 Solving -31 + -3r = -19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -3r = -19 + 31 Combine like terms: -31 + 31 = 0 0 + -3r = -19 + 31 -3r = -19 + 31 Combine like terms: -19 + 31 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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