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Simplifying -22.5 = 7(5a + -6.5) Reorder the terms: -22.5 = 7(-6.5 + 5a) -22.5 = (-6.5 * 7 + 5a * 7) -22.5 = (-45.5 + 35a) Solving -22.5 = -45.5 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -22.5 + -35a = -45.5 + 35a + -35a Combine like terms: 35a + -35a = 0 -22.5 + -35a = -45.5 + 0 -22.5 + -35a = -45.5 Add '22.5' to each side of the equation. -22.5 + 22.5 + -35a = -45.5 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + -35a = -45.5 + 22.5 -35a = -45.5 + 22.5 Combine like terms: -45.5 + 22.5 = -23 -35a = -23 Divide each side by '-35'. a = 0.6571428571 Simplifying a = 0.6571428571
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