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Simplifying 7x + 3[5r + -16] = 84 Reorder the terms: 7x + 3[-16 + 5r] = 84 7x + [-16 * 3 + 5r * 3] = 84 7x + [-48 + 15r] = 84 Reorder the terms: -48 + 15r + 7x = 84 Solving -48 + 15r + 7x = 84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 15r + 48 + 7x = 84 + 48 Reorder the terms: -48 + 48 + 15r + 7x = 84 + 48 Combine like terms: -48 + 48 = 0 0 + 15r + 7x = 84 + 48 15r + 7x = 84 + 48 Combine like terms: 84 + 48 = 132 15r + 7x = 132 Add '-7x' to each side of the equation. 15r + 7x + -7x = 132 + -7x Combine like terms: 7x + -7x = 0 15r + 0 = 132 + -7x 15r = 132 + -7x Divide each side by '15'. r = 8.8 + -0.4666666667x Simplifying r = 8.8 + -0.4666666667x
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