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Simplifying 44 = 7(7r + -16) + 5(3r + -20) Reorder the terms: 44 = 7(-16 + 7r) + 5(3r + -20) 44 = (-16 * 7 + 7r * 7) + 5(3r + -20) 44 = (-112 + 49r) + 5(3r + -20) Reorder the terms: 44 = -112 + 49r + 5(-20 + 3r) 44 = -112 + 49r + (-20 * 5 + 3r * 5) 44 = -112 + 49r + (-100 + 15r) Reorder the terms: 44 = -112 + -100 + 49r + 15r Combine like terms: -112 + -100 = -212 44 = -212 + 49r + 15r Combine like terms: 49r + 15r = 64r 44 = -212 + 64r Solving 44 = -212 + 64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-64r' to each side of the equation. 44 + -64r = -212 + 64r + -64r Combine like terms: 64r + -64r = 0 44 + -64r = -212 + 0 44 + -64r = -212 Add '-44' to each side of the equation. 44 + -44 + -64r = -212 + -44 Combine like terms: 44 + -44 = 0 0 + -64r = -212 + -44 -64r = -212 + -44 Combine like terms: -212 + -44 = -256 -64r = -256 Divide each side by '-64'. r = 4 Simplifying r = 4
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