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Simplifying 5(2a + -13) = 3(4a + -28) Reorder the terms: 5(-13 + 2a) = 3(4a + -28) (-13 * 5 + 2a * 5) = 3(4a + -28) (-65 + 10a) = 3(4a + -28) Reorder the terms: -65 + 10a = 3(-28 + 4a) -65 + 10a = (-28 * 3 + 4a * 3) -65 + 10a = (-84 + 12a) Solving -65 + 10a = -84 + 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. -65 + 10a + -12a = -84 + 12a + -12a Combine like terms: 10a + -12a = -2a -65 + -2a = -84 + 12a + -12a Combine like terms: 12a + -12a = 0 -65 + -2a = -84 + 0 -65 + -2a = -84 Add '65' to each side of the equation. -65 + 65 + -2a = -84 + 65 Combine like terms: -65 + 65 = 0 0 + -2a = -84 + 65 -2a = -84 + 65 Combine like terms: -84 + 65 = -19 -2a = -19 Divide each side by '-2'. a = 9.5 Simplifying a = 9.5
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