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Simplifying 5(a + -2) = 6(a + -3) * 2 Reorder the terms: 5(-2 + a) = 6(a + -3) * 2 (-2 * 5 + a * 5) = 6(a + -3) * 2 (-10 + 5a) = 6(a + -3) * 2 Reorder the terms: -10 + 5a = 6(-3 + a) * 2 Reorder the terms for easier multiplication: -10 + 5a = 6 * 2(-3 + a) Multiply 6 * 2 -10 + 5a = 12(-3 + a) -10 + 5a = (-3 * 12 + a * 12) -10 + 5a = (-36 + 12a) Solving -10 + 5a = -36 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -10 + 5a + -12a = -36 + 12a + -12a Combine like terms: 5a + -12a = -7a -10 + -7a = -36 + 12a + -12a Combine like terms: 12a + -12a = 0 -10 + -7a = -36 + 0 -10 + -7a = -36 Add '10' to each side of the equation. -10 + 10 + -7a = -36 + 10 Combine like terms: -10 + 10 = 0 0 + -7a = -36 + 10 -7a = -36 + 10 Combine like terms: -36 + 10 = -26 -7a = -26 Divide each side by '-7'. a = 3.714285714 Simplifying a = 3.714285714
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