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Simplifying 4(t + -7) = 10t + 2 Reorder the terms: 4(-7 + t) = 10t + 2 (-7 * 4 + t * 4) = 10t + 2 (-28 + 4t) = 10t + 2 Reorder the terms: -28 + 4t = 2 + 10t Solving -28 + 4t = 2 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -28 + 4t + -10t = 2 + 10t + -10t Combine like terms: 4t + -10t = -6t -28 + -6t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -28 + -6t = 2 + 0 -28 + -6t = 2 Add '28' to each side of the equation. -28 + 28 + -6t = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -6t = 2 + 28 -6t = 2 + 28 Combine like terms: 2 + 28 = 30 -6t = 30 Divide each side by '-6'. t = -5 Simplifying t = -5
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