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Simplifying 1.5(b + -1.5a + -1) + -2.5b = 0 Reorder the terms: 1.5(-1 + -1.5a + b) + -2.5b = 0 (-1 * 1.5 + -1.5a * 1.5 + b * 1.5) + -2.5b = 0 (-1.5 + -2.25a + 1.5b) + -2.5b = 0 Combine like terms: 1.5b + -2.5b = -1b -1.5 + -2.25a + -1b = 0 Solving -1.5 + -2.25a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + -2.25a + 1.5 + -1b = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2.25a + -1b = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.25a + -1b = 0 + 1.5 -2.25a + -1b = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2.25a + -1b = 1.5 Add 'b' to each side of the equation. -2.25a + -1b + b = 1.5 + b Combine like terms: -1b + b = 0 -2.25a + 0 = 1.5 + b -2.25a = 1.5 + b Divide each side by '-2.25'. a = -0.6666666667 + -0.4444444444b Simplifying a = -0.6666666667 + -0.4444444444b
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