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Simplifying 4a + -15 = 7a + -45 Reorder the terms: -15 + 4a = 7a + -45 Reorder the terms: -15 + 4a = -45 + 7a Solving -15 + 4a = -45 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -15 + 4a + -7a = -45 + 7a + -7a Combine like terms: 4a + -7a = -3a -15 + -3a = -45 + 7a + -7a Combine like terms: 7a + -7a = 0 -15 + -3a = -45 + 0 -15 + -3a = -45 Add '15' to each side of the equation. -15 + 15 + -3a = -45 + 15 Combine like terms: -15 + 15 = 0 0 + -3a = -45 + 15 -3a = -45 + 15 Combine like terms: -45 + 15 = -30 -3a = -30 Divide each side by '-3'. a = 10 Simplifying a = 10
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