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Simplifying 10a + -7 = 15(a + -3) Reorder the terms: -7 + 10a = 15(a + -3) Reorder the terms: -7 + 10a = 15(-3 + a) -7 + 10a = (-3 * 15 + a * 15) -7 + 10a = (-45 + 15a) Solving -7 + 10a = -45 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -7 + 10a + -15a = -45 + 15a + -15a Combine like terms: 10a + -15a = -5a -7 + -5a = -45 + 15a + -15a Combine like terms: 15a + -15a = 0 -7 + -5a = -45 + 0 -7 + -5a = -45 Add '7' to each side of the equation. -7 + 7 + -5a = -45 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = -45 + 7 -5a = -45 + 7 Combine like terms: -45 + 7 = -38 -5a = -38 Divide each side by '-5'. a = 7.6 Simplifying a = 7.6
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