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Simplifying -10a + 22 = -5(3 + -2a) Reorder the terms: 22 + -10a = -5(3 + -2a) 22 + -10a = (3 * -5 + -2a * -5) 22 + -10a = (-15 + 10a) Solving 22 + -10a = -15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 22 + -10a + -10a = -15 + 10a + -10a Combine like terms: -10a + -10a = -20a 22 + -20a = -15 + 10a + -10a Combine like terms: 10a + -10a = 0 22 + -20a = -15 + 0 22 + -20a = -15 Add '-22' to each side of the equation. 22 + -22 + -20a = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -20a = -15 + -22 -20a = -15 + -22 Combine like terms: -15 + -22 = -37 -20a = -37 Divide each side by '-20'. a = 1.85 Simplifying a = 1.85
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