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Simplifying 5(a + -2) = 4(a + -3) Reorder the terms: 5(-2 + a) = 4(a + -3) (-2 * 5 + a * 5) = 4(a + -3) (-10 + 5a) = 4(a + -3) Reorder the terms: -10 + 5a = 4(-3 + a) -10 + 5a = (-3 * 4 + a * 4) -10 + 5a = (-12 + 4a) Solving -10 + 5a = -12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -10 + 5a + -4a = -12 + 4a + -4a Combine like terms: 5a + -4a = 1a -10 + 1a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + 1a = -12 + 0 -10 + 1a = -12 Add '10' to each side of the equation. -10 + 10 + 1a = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = -12 + 10 1a = -12 + 10 Combine like terms: -12 + 10 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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