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Simplifying -30 + 3b = 7(5b + -4) Reorder the terms: -30 + 3b = 7(-4 + 5b) -30 + 3b = (-4 * 7 + 5b * 7) -30 + 3b = (-28 + 35b) Solving -30 + 3b = -28 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. -30 + 3b + -35b = -28 + 35b + -35b Combine like terms: 3b + -35b = -32b -30 + -32b = -28 + 35b + -35b Combine like terms: 35b + -35b = 0 -30 + -32b = -28 + 0 -30 + -32b = -28 Add '30' to each side of the equation. -30 + 30 + -32b = -28 + 30 Combine like terms: -30 + 30 = 0 0 + -32b = -28 + 30 -32b = -28 + 30 Combine like terms: -28 + 30 = 2 -32b = 2 Divide each side by '-32'. b = -0.0625 Simplifying b = -0.0625
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