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Simplifying -10.3b + 6 = 4.7b + -9 Reorder the terms: 6 + -10.3b = 4.7b + -9 Reorder the terms: 6 + -10.3b = -9 + 4.7b Solving 6 + -10.3b = -9 + 4.7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.7b' to each side of the equation. 6 + -10.3b + -4.7b = -9 + 4.7b + -4.7b Combine like terms: -10.3b + -4.7b = -15b 6 + -15b = -9 + 4.7b + -4.7b Combine like terms: 4.7b + -4.7b = 0.0 6 + -15b = -9 + 0.0 6 + -15b = -9 Add '-6' to each side of the equation. 6 + -6 + -15b = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -15b = -9 + -6 -15b = -9 + -6 Combine like terms: -9 + -6 = -15 -15b = -15 Divide each side by '-15'. b = 1 Simplifying b = 1
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