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Simplifying 1.7(b + 5) + -1(6.9 + 0.7b) = -7 + 6 Reorder the terms: 1.7(5 + b) + -1(6.9 + 0.7b) = -7 + 6 (5 * 1.7 + b * 1.7) + -1(6.9 + 0.7b) = -7 + 6 (8.5 + 1.7b) + -1(6.9 + 0.7b) = -7 + 6 8.5 + 1.7b + (6.9 * -1 + 0.7b * -1) = -7 + 6 8.5 + 1.7b + (-6.9 + -0.7b) = -7 + 6 Reorder the terms: 8.5 + -6.9 + 1.7b + -0.7b = -7 + 6 Combine like terms: 8.5 + -6.9 = 1.6 1.6 + 1.7b + -0.7b = -7 + 6 Combine like terms: 1.7b + -0.7b = 1b 1.6 + 1b = -7 + 6 Combine like terms: -7 + 6 = -1 1.6 + 1b = -1 Solving 1.6 + 1b = -1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + 1b = -1 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1b = -1 + -1.6 1b = -1 + -1.6 Combine like terms: -1 + -1.6 = -2.6 1b = -2.6 Divide each side by '1'. b = -2.6 Simplifying b = -2.6
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