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Simplifying -7(3 + t) = 42t + 6 (3 * -7 + t * -7) = 42t + 6 (-21 + -7t) = 42t + 6 Reorder the terms: -21 + -7t = 6 + 42t Solving -21 + -7t = 6 + 42t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42t' to each side of the equation. -21 + -7t + -42t = 6 + 42t + -42t Combine like terms: -7t + -42t = -49t -21 + -49t = 6 + 42t + -42t Combine like terms: 42t + -42t = 0 -21 + -49t = 6 + 0 -21 + -49t = 6 Add '21' to each side of the equation. -21 + 21 + -49t = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -49t = 6 + 21 -49t = 6 + 21 Combine like terms: 6 + 21 = 27 -49t = 27 Divide each side by '-49'. t = -0.5510204082 Simplifying t = -0.5510204082
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