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Simplifying 3a + -22 = 5(a + -2) Reorder the terms: -22 + 3a = 5(a + -2) Reorder the terms: -22 + 3a = 5(-2 + a) -22 + 3a = (-2 * 5 + a * 5) -22 + 3a = (-10 + 5a) Solving -22 + 3a = -10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -22 + 3a + -5a = -10 + 5a + -5a Combine like terms: 3a + -5a = -2a -22 + -2a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 -22 + -2a = -10 + 0 -22 + -2a = -10 Add '22' to each side of the equation. -22 + 22 + -2a = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -2a = -10 + 22 -2a = -10 + 22 Combine like terms: -10 + 22 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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