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Simplifying 2a + -5 = -3 + 3(a + -2) Reorder the terms: -5 + 2a = -3 + 3(a + -2) Reorder the terms: -5 + 2a = -3 + 3(-2 + a) -5 + 2a = -3 + (-2 * 3 + a * 3) -5 + 2a = -3 + (-6 + 3a) Combine like terms: -3 + -6 = -9 -5 + 2a = -9 + 3a Solving -5 + 2a = -9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 2a + -3a = -9 + 3a + -3a Combine like terms: 2a + -3a = -1a -5 + -1a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + -1a = -9 + 0 -5 + -1a = -9 Add '5' to each side of the equation. -5 + 5 + -1a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = -9 + 5 -1a = -9 + 5 Combine like terms: -9 + 5 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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