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Simplifying 0.6(5b + -10) = (7b + -4)(-2) + 3 Reorder the terms: 0.6(-10 + 5b) = (7b + -4)(-2) + 3 (-10 * 0.6 + 5b * 0.6) = (7b + -4)(-2) + 3 (-6 + 3b) = (7b + -4)(-2) + 3 Reorder the terms: -6 + 3b = (-4 + 7b)(-2) + 3 Reorder the terms for easier multiplication: -6 + 3b = -2(-4 + 7b) + 3 -6 + 3b = (-4 * -2 + 7b * -2) + 3 -6 + 3b = (8 + -14b) + 3 Reorder the terms: -6 + 3b = 8 + 3 + -14b Combine like terms: 8 + 3 = 11 -6 + 3b = 11 + -14b Solving -6 + 3b = 11 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -6 + 3b + 14b = 11 + -14b + 14b Combine like terms: 3b + 14b = 17b -6 + 17b = 11 + -14b + 14b Combine like terms: -14b + 14b = 0 -6 + 17b = 11 + 0 -6 + 17b = 11 Add '6' to each side of the equation. -6 + 6 + 17b = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 17b = 11 + 6 17b = 11 + 6 Combine like terms: 11 + 6 = 17 17b = 17 Divide each side by '17'. b = 1 Simplifying b = 1
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